49525689408000 has 1280 divisors, whose sum is σ = 188490535833600. Its totient is φ = 11436053299200.

The previous prime is 49525689407951. The next prime is 49525689408011. The reversal of 49525689408000 is 80498652594.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×49525689408000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4884666931 + ... + 4884677069.

It is an arithmetic number, because the mean of its divisors is an integer number (147258231120).

Almost surely, 2^{49525689408000} is an apocalyptic number.

49525689408000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49525689408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94245267916800).

49525689408000 is an abundant number, since it is smaller than the sum of its proper divisors (138964846425600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49525689408000 is a wasteful number, since it uses less digits than its factorization.

49525689408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10310 (or 10284 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 60.

The spelling of 49525689408000 in words is "forty-nine trillion, five hundred twenty-five billion, six hundred eighty-nine million, four hundred eight thousand".